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Finding the Fourth Proportional to 3,347.16, 5,020.77 and 882.33

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Solution

The fourth proportional to 3,347.16, 5,020.77 and 882.33 is: 1,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.16 : 5,020.77 = 882.33 : x
  2. Step 2: Convert to fraction form
    3,347.16/5,020.77 = 882.33/x
  3. Step 3: Cross multiply
    3,347.16x = 5,020.77 × 882.33
  4. Step 4: Simplify right side
    3,347.16x = 4,429,975.99
  5. Step 5: Solve for x
    x = 4,429,975.99/3,347.16
  6. Step 6: Final answer
    x = 1,323.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.